%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET009+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:11:09 PM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET009+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:41:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,conjecture,(
% 0.12/0.40 (! [B,C,D] :( subset(B,C)=> subset(difference(D,C),difference(D,B)) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,negated_conjecture,(
% 0.12/0.40 ~((! [B,C,D] :( subset(B,C)=> subset(difference(D,C),difference(D,B)) ) ))),
% 0.12/0.40 inference(negated_conjecture,[status(cth)],[f4])).
% 0.12/0.40 fof(f6,plain,(
% 0.12/0.40 ![B,C,D]: ((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&(member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.12/0.40 inference(NNF_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f7,plain,(
% 0.12/0.40 (![B,C,D]: (~member(D,difference(B,C))|(member(D,B)&~member(D,C))))&(![B,C,D]: (member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.40 fof(f8,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f9,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f10,plain,(
% 0.12/0.40 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f11,plain,(
% 0.12/0.40 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f12,plain,(
% 0.12/0.40 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.12/0.40 inference(NNF_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f13,plain,(
% 0.12/0.40 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f12])).
% 0.12/0.40 fof(f14,plain,(
% 0.12/0.40 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK0_skl(C,B),B)&~member(sK0_skl(C,B),C))))),
% 0.12/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f13])).
% 0.12/0.40 fof(f15,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f16,plain,(
% 0.12/0.40 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f17,plain,(
% 0.12/0.40 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f19,plain,(
% 0.12/0.40 (?[B,C,D]: (subset(B,C)&~subset(difference(D,C),difference(D,B))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f20,plain,(
% 0.12/0.40 ?[B,C]: (subset(B,C)&(?[D]: ~subset(difference(D,C),difference(D,B))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f19])).
% 0.12/0.40 fof(f21,plain,(
% 0.12/0.40 (subset(sK1_skl,sK2_skl)&~subset(difference(sK3_skl,sK2_skl),difference(sK3_skl,sK1_skl)))),
% 0.12/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f20])).
% 0.12/0.40 fof(f22,plain,(
% 0.12/0.40 subset(sK1_skl,sK2_skl)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f23,plain,(
% 0.12/0.40 ~subset(difference(sK3_skl,sK2_skl),difference(sK3_skl,sK1_skl))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f25,plain,(
% 0.12/0.40 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~member(sK0_skl(X2,difference(X0,X1)),X1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f16,f9])).
% 0.12/0.40 fof(f26,plain,(
% 0.12/0.40 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|member(sK0_skl(X2,difference(X0,X1)),X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f16,f8])).
% 0.12/0.40 fof(f150,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (subset(difference(X0,X1),X2)|member(sK0_skl(X2,difference(X0,X1)),difference(X0,X3))|member(sK0_skl(X2,difference(X0,X1)),X3))),
% 0.12/0.40 inference(resolution,[status(thm)],[f26,f10])).
% 0.12/0.40 fof(f232,plain,(
% 0.12/0.40 ![X0,X1,X2]: (subset(difference(X0,X1),difference(X0,X2))|member(sK0_skl(difference(X0,X2),difference(X0,X1)),X2)|subset(difference(X0,X1),difference(X0,X2)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f150,f17])).
% 0.12/0.41 fof(f238,plain,(
% 0.12/0.41 ![X0,X1,X2]: (subset(difference(X0,X1),difference(X0,X2))|member(sK0_skl(difference(X0,X2),difference(X0,X1)),X2))),
% 0.12/0.41 inference(duplicate_literals_removal,[status(thm)],[f232])).
% 0.12/0.41 fof(f285,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (subset(difference(X0,X1),difference(X0,X2))|~subset(X2,X3)|member(sK0_skl(difference(X0,X2),difference(X0,X1)),X3))),
% 0.12/0.41 inference(resolution,[status(thm)],[f238,f15])).
% 0.12/0.41 fof(f311,plain,(
% 0.12/0.41 ![X0,X1]: (subset(difference(X0,X1),difference(X0,sK1_skl))|member(sK0_skl(difference(X0,sK1_skl),difference(X0,X1)),sK2_skl))),
% 0.12/0.41 inference(resolution,[status(thm)],[f285,f22])).
% 0.12/0.41 fof(f313,plain,(
% 0.12/0.41 ![X0]: (subset(difference(X0,sK2_skl),difference(X0,sK1_skl))|subset(difference(X0,sK2_skl),difference(X0,sK1_skl)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f311,f25])).
% 0.12/0.41 fof(f317,plain,(
% 0.12/0.41 ![X0]: (subset(difference(X0,sK2_skl),difference(X0,sK1_skl)))),
% 0.12/0.41 inference(duplicate_literals_removal,[status(thm)],[f313])).
% 0.12/0.41 fof(f318,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(backward_subsumption_resolution,[status(thm)],[f23,f317])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.059396 seconds
% 0.12/0.42 % CPU time: 0.285716 seconds
% 0.12/0.42 % Total memory used: 21.114 MB
% 0.12/0.42 % Net memory used: 20.404 MB
%------------------------------------------------------------------------------